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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.06293 |
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| _version_ | 1866912750453653504 |
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| author | Guo, Jirui Romo, Mauricio Smith, Lucy |
| author_facet | Guo, Jirui Romo, Mauricio Smith, Lucy |
| contents | We study the properties of B-branes in a class of nonabelian GLSMs realizing the canonical line bundle $K_{Gr(2,N)}$ in their geometric phase. By analysing the hemisphere partition function, i.e. B-brane central charge, we propose a grade restriction rule and the corresponding window categories for a specific class of paths between phases. We find very striking differences between the cases of N even and N odd. In particular, for the case of N even, we suggest that more than one window category can be possible, for a fixed path. A detailed computation of the open Witten index and some monodromies provides evidence for our proposal for window categories. In addition, we make some remarks about B-branes on the the strongly coupled phase, for the case $N=4$, based on our window proposal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_06293 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | B-brane transport in nonabelian GLSMs for $K_{Gr(2,N)}$ Guo, Jirui Romo, Mauricio Smith, Lucy High Energy Physics - Theory Algebraic Geometry We study the properties of B-branes in a class of nonabelian GLSMs realizing the canonical line bundle $K_{Gr(2,N)}$ in their geometric phase. By analysing the hemisphere partition function, i.e. B-brane central charge, we propose a grade restriction rule and the corresponding window categories for a specific class of paths between phases. We find very striking differences between the cases of N even and N odd. In particular, for the case of N even, we suggest that more than one window category can be possible, for a fixed path. A detailed computation of the open Witten index and some monodromies provides evidence for our proposal for window categories. In addition, we make some remarks about B-branes on the the strongly coupled phase, for the case $N=4$, based on our window proposal. |
| title | B-brane transport in nonabelian GLSMs for $K_{Gr(2,N)}$ |
| topic | High Energy Physics - Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2503.06293 |